Search a number
-
+
242440130322 = 23313883391117
BaseRepresentation
bin1110000111001010001…
…1101100111100010010
3212011210001212200112000
43201302203230330102
512433004133132242
6303213033214430
723341615051245
oct3416243547422
9764701780460
10242440130322
1193900151275
123aba0861416
1319b28a9b320
14ba3c79725c
15648e2aca4c
hex38728ecf12

242440130322 has 64 divisors (see below), whose sum is σ = 580857164160. Its totient is φ = 74512291392.

The previous prime is 242440130299. The next prime is 242440130323. The reversal of 242440130322 is 223031044242.

242440130322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242440130323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424308 + ... + 815424.

It is an arithmetic number, because the mean of its divisors is an integer number (9075893190).

Almost surely, 2242440130322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242440130322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290428582080).

242440130322 is an abundant number, since it is smaller than the sum of its proper divisors (338417033838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242440130322 is a wasteful number, since it uses less digits than its factorization.

242440130322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392024 (or 392018 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242440130322 its reverse (223031044242), we get a palindrome (465471174564).

The spelling of 242440130322 in words is "two hundred forty-two billion, four hundred forty million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 883 1766 2649 5298 7947 11479 15894 22958 23841 34437 47682 68874 103311 206622 309933 391117 619866 782234 1173351 2346702 3520053 5084521 7040106 10169042 10560159 15253563 21120318 30507126 45760689 91521378 137282067 274564134 345356311 690712622 1036068933 2072137866 3108206799 4489632043 6216413598 8979264086 9324620397 13468896129 18649240794 26937792258 40406688387 80813376774 121220065161 242440130322